Izsák, Ferenc and Maros, Gábor (2020) Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 23 (2). pp. 378-389. ISSN 1311-0454
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Official URL: https://doi.org/10.1515/fca-2020-0018
Abstract
Fractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposed as a suitable mathematical model. The corresponding theory is completed by sharpening the mapping properties of the corresponding potential operators. The existence-uniqueness result is stated also for two-dimensional domains. Finally, a mild condition is provided to ensure the existence of the classical solution of the boundary integral equation.
| Item Type: | Article |
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| Uncontrolled Keywords: | Boundary conditions; Fractional Laplacian; Mathematics, Applied; Mathematics, Interdisciplinary Applications; |
| Subjects: | Q Science / természettudomány > Q1 Science (General) / természettudomány általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 06 Feb 2023 15:20 |
| Last Modified: | 06 Feb 2023 15:20 |
| URI: | http://real.mtak.hu/id/eprint/158160 |
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